The temperaments listed are 16edo-distinct, meaning that they are all different even if tuned in 16edo. The ordering is by increasing complexity of 3. The temperament of lowest TE complexity was chosen as the representative for each class of edo-distinctness.

5-limit temperaments

Period generator	Wedgie	Name	Complexity	Commas
16 7	<<1 -3 -7]]	Mavila	1.377	135/128
8 1	<<2 10 11]]		3.113	59049/51200
16 3	<<3 7 4]]	Laconic	2.149	2187/2000
4 1	<<4 4 -3]]	Diminished	1.826	648/625
16 5	<<5 1 -10]]	Magic	2.417	3125/3072
8 3	<<6 -2 -17]]		3.484	140625/131072
16 1	<<7 11 1]]		3.743	177147/156250
2 1	<<8 -8 -31]]		6.008	2562890625/2147483648

7-limit temperaments

Period generator	Wedgie	Name	Complexity	Commas
16 7	<<1 -3 5 -7 5 20]]	Armodue	1.804	36/35 135/128
8 1	<<2 -6 -6 -14 -15 3]]	Bipelog	2.546	50/49 135/128
16 3	<<3 7 -1 4 -10 -22]]	Gorgo	2.252	36/35 1029/1024
4 1	<<4 4 4 -3 -5 -2]]	Diminished	1.494	36/35 50/49
16 5	<<5 1 9 -10 0 18]]		2.430	36/35 1875/1792
8 3	<<6 -2 -2 -17 -20 1]]	Lemba	3.086	50/49 525/512
16 1	<<7 11 3 1 -15 -24]]		3.369	36/35 51200/50421
2 1	<<8 8 -8 -6 -35 -41]]		4.993	648/625 1323/1280

11-limit temperaments

Period generator	Wedgie	Name	Complexity	Commas
16 7	<<1 -3 5 -1 -7 5 -5 20 8 -20]]	Armodue	1.603	33/32 36/35 45/44
8 1	<<2 -6 -6 -2 -14 -15 -10 3 16 15]]	Bipelog	2.211	33/32 45/44 50/49
16 3	<<3 7 -1 -3 4 -10 -15 -22 -31 -5]]		2.320	33/32 36/35 352/343
4 1	<<4 4 4 12 -3 -5 5 -2 14 20]]	Demolished	1.831	36/35 45/44 50/49
16 5	<<5 1 9 11 -10 0 0 18 22 0]]		2.303	36/35 45/44 363/343
8 3	<<6 -2 -2 -6 -17 -20 -30 1 -7 -10]]		3.032	50/49 176/175 363/343
16 1	<<7 11 3 9 1 -15 -10 -24 -17 15]]	Slurpee	2.916	36/35 121/120 352/343
2 1	<<8 8 8 8 -6 -10 -15 -4 -9 -5]]		2.606	36/35 50/49 363/343

13-limit temperaments

Period generator	Wedgie	Name	Complexity	Commas
16 7	<<1 -3 5 -1 3 -7 5 -5 1 20 8 18 -20 -10 14]]	Armodue	1.481	27/26 33/32 36/35 45/44
8 1	<<2 -6 -6 -2 -10 -14 -15 -10 -23 3 16 -1 15 -6 -27]]		2.256	33/32 45/44 50/49 78/77
16 3	<<3 7 -1 -3 9 4 -10 -15 3 -22 -31 -5 -5 29 42]]		2.293	27/26 36/35 143/140 275/273
4 1	<<4 4 4 12 12 -3 -5 5 4 -2 14 13 20 19 -3]]		1.829	27/26 36/35 45/44 50/49
16 5	<<5 1 9 11 15 -10 0 0 5 18 22 31 0 9 11]]		2.376	27/26 36/35 78/77 605/588
8 3	<<6 -2 -2 -6 2 -17 -20 -30 -19 1 -7 12 -10 13 29]]		2.725	33/32 50/49 66/65 105/104
16 1	<<7 11 3 9 5 1 -15 -10 -18 -24 -17 -29 15 3 -16]]	Slurpee	2.700	36/35 66/65 143/140 352/343
2 1	<<8 8 8 8 8 -6 -10 -15 -17 -4 -9 -11 -5 -7 -2]]		2.354	36/35 50/49 66/65 143/140